EUROfusion - Aix-Marseille...
Transcript of EUROfusion - Aix-Marseille...
EUROfusionEUROfusion
Integrated Tokamak Modelling: current status and future direction for ITER operation
By Xavier [email protected]
ITER INTERNATIONAL SCHOOL 2014
EUROfusionACKNOWLEDGMENTS
A. Becoulet, D. Campbell, J. Citrin ,
G. Falchetto , J. Garcia, G. Giruzzi,
G.T. Hoang, G.M.D. Hogeweij, F. Imbeaux,
D. Kalupin , S. Kim, C. Kessel, D. McDonald,
D. Moreau, Y. S. Na, V. Parail, S. Pinches, F.
Poli, M. Romanelli, P . Strand,
I. Voitsekhovitch
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 2
EUROfusionOUTLINE
INTEGRATED MODELLING IN FUSION & ITER
PLASMA OPERATIONAL SCENARIO:
I) DEFINITION
II) PHYSICS & COMPUTATIONAL CHALLENGES
III) MODELLING OF ITER SCENARIOS
RECENT DEVELOPMENT OF INTEGRATED MODELLING PLATFORM & SUITE OF CODES
CONCLUSION AND PROSPECTS X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 3
EUROfusion
TOWARDS A FUSION TOKAMAK REACTOR
self-heating
bootstrap
A scientific and technical challenge
WITH ITER , FUSION ENTERS IN THE NUCLEAR ERA
Pfusion /Padd DD
~400s
0%
20%
Tore Supra
Q ~ 0.7
2s
10%
20%
JET
Q ~ 10
400-3600s
70%
10-50%
ITER
Q ~ 30
Continuous
80 to 90%
50-80%
DEMO
duration
JT60-SA
DD
~100s
0%
>60%
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 4
EAST
EUROfusionIMPORTANCE OF MODELLING IN NUCLEAR ERA
Bringing Fusion to its “Reactor Era” requires an innovative programme of “discharge mastering”, combining:
Nuclear device with safety issue
Design, safety case and preparation of operation with systematic modelling
Limited experimental time for empirical approach Real time control of the magnetic/kinetic configuration (non-linear and time
effects)
Real time control of components integrityHigh-level algorithms and control schemes
a consistent set of simulation tools:
� first principles (“PFlops”)� integrated modelling (“CPU hours”)
� fast simulators (“~ 10 ms”)
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 5
[Becoulet & Hoang PPCF 2008 and Joffrin et al PPCF 2003 ]
EUROfusionITER PHYSICS AND TECHNOLOGY GOALS
Physics Goals:
• ITER is designed to produce a plasma dominated by α-particle heating
• produce a significant fusion power amplification factor (Q ≥ 10) in long-pulse operation
• aim to achieve steady-state operation of a tokamak (Q = 5)
• retain the possibility of exploring ‘controlled ignition’ (Q ≥ 30)
| PAGE 6
50 MW
500 MW
Technology Goals:
• demonstrate integrated operation of technologies for afusion power plant
• test components required for a fusion power plant
• test concepts for a tritium breeding blanket
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014
EUROfusion
ITER OPERATIONAL
SCENARIOS
Inductive
Q ≥ 10 Ip~15MA 400s
Hybrid
Q ~5-10 Ip~12MA 1000s
Non-inductive
Q~5 Ip~9MA 3000s
Active research activity
Integration of physics & technology
Inon-inductive /Ip Ibootstrap /Ip
50%
7%
20%
100%
50%
20%
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 7
EUROfusionVARIOUS PHASES IN THE PLASMA SCENARIO
Fusion Power
Plasma Current
Inductive Flux
D-T Fuelling
Plasma Density
αααα-particle Fraction
Additional Power
Pfus
ne
Paux
fHe
Ip
φOH
DTRefuel
Burn Bur
nTe
rmin
atio
nC
urre
ntR
ampd
own
PF
Res
etan
d R
ecoo
l
PF
Mag
netiz
atio
n
CurrentRampup
-200 1400
Begin Pulse End Pulse
Hea
ting
Plasma Initiation
0 tSOF tSOB 600 700 900Time(s)
IP0
EC(2MW)
φSOB
φEOB
φSOP
ΓDT
neB
5 %
PFB
ISOD
(~400s)
PF
Res
etA
nd R
ecoo
l
Pol
. Fie
ldM
agne
tizat
ion
Bre
akdo
wn
Cur
rent
Ram
p U
p
Hea
ting
Bur
nte
rmin
atio
nC
urre
ntR
amp
Dow
n
Time(s)
CurrentFlat Top
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 8
EUROfusion
EXAMPLE OF SCENARIO: JET PLASMA
JET #67687
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 9
EUROfusion
S.H. Kim et al, PPCF2009
MODELLING OF ITER SCENARIO : 15MA H-MODE
Tokamak simulation: free-boundary equilibrium (DINA -CH) & transport evolution (CRONOS)
ITER
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 10
EUROfusion
NUMERICAL TOKAMAK: ALL COUPLINGS, ALL NON-LINEARITIES
[Politzer et al NF 05]
Different time scale: fast (blue) & Slow (red) αααα-heating dominant in burning reactor
Actuators
Plasma
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 11
EUROfusion
INTEGRATED MODELLING (IM): SET OF CODES COUPLED TOGETHER TO MODEL ‘PLASMA + TOKAMAK’
IM covers different physical regions & time scale:Core and edge regions to the separatrixThe scrape off layer (SOL) region and its connection with the divertor
The effects of external circuits and systems in controlling the plasma
Interaction with the plasma facing components (PFCs)
IM encompasses different levels of sophistication:First principles models (e.g. microscale) to explore details of the physics
Reduced models (e.g. macroscale) for efficient computations; fidelity to first principles models, instead of being expressed empirically
Empirical models (scaling laws from large data base)
Integrated modelling covers :Interpretative & predictive capabilities
The full discharge from initiation to termination and inter-discharge effects e.g. conditioning and tritium retention
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 12
EUROfusionINTEGRATED MODELLING FOR MAGNETIC FUSION
Magnetic Fusion Experiments mix:
sophisticated physics: multi-physics, multi-scale time and space, often
highly non-linear behaviors & couplings
complex devices: coils, H&CD systems, Fuelling & Pumping, Cooling,
diagnostics, …
complex control algorithms: performance & safety
Performance means mastering all aspects together
In preparation to ITER, several initiatives were ta ken
along these lines:
more dedicated experiments to validate simulation modules and models
more systematic real-time controls on experiments
a dedicated modeling architecture for Integrated Tokamak Modelli ngX. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 13
EUROfusionMODELLING APPLICATIONS FOR ITER
During ITER design:
Design is based on a combination of theoretical understanding +
experimental observations where theory/modelling is incomplete
During ITER construction:
Focus on enhancing the physics understanding through development of theoretical and computational models and validating them against
experimental observations
Apply new understanding to planning the ITER experimental programme
During ITER operation:
Predictive modelling of each plasma from beginning to end , including analysis of control requirementsInterpretative analysis of each plasma to evaluate/validate models
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 14W. Houlberg, S. Pinches, D. Campbell
EUROfusion
IM SUPPORT OF THE ITER FACILITY: EXPERIMENTAL PLANNING
Scenario studies for all ITER phases:H, He, D and D-T Phases full dischargeAll scenarios from inductive to non-inductive
Campaign planning:Experimental proposals are to be systematically supported by modelling
Session planning:More detailed modelling assessment over the expected parameter range
Pulse development:Simulation from initiation to termination, including system limitations Pulses expected to be composed of segments (e.g. start-up, several sequential flat-top, shutdown)
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 15W. Houlberg et al
EUROfusion
IM SUPPORT OF THE ITER FACILITY: REAL-TIME CONTROL
Control strategies & Feedback models :Evaluate plasma response times, sensitivity of plasma parameters to actuators, impact of eventsEvaluate control models, gains and response times using idealized sensors
Input to control algorithms:Effectiveness of sensors and actuators, response times, secondary responsesEstimated ranges for tunable parameters in various control algorithms (PID, SIMO, MIMO …) under a range of conditions
Testing control algorithms:Simulate plasma behavior using control algorithmsSynthetic diagnostics linked to actuators
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 16
EUROfusionIM SUPPORT OF THE ITER FACILITY : ANALYSIS
Real-time analysis:Display of physics parameters using fast conversion of diagnostic signalsSimultaneous display of modelled results in control rooms
Post-processing:More rigorous conversion of diagnostic signals emphasizing consistency in analysis, uncertainties (error bars), …Systematic inter-shot and overnight processing validated tools
Model validation and improvement:More detailed, more extensive modelling & long-term analyses
Forecasting:Live prediction from present state (similar to weather forecasting)
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 17W. Houlberg et al
EUROfusionOUTLINE
INTEGRATED MODELLING IN FUSION & ITER
PLASMA OPERATIONAL SCENARIO:
I) DEFINITION
II) PHYSICS & COMPUTATIONAL CHALLENGES
III) MODELLING OF ITER SCENARIOS
RECENT DEVELOPMENT OF INTEGRATED MODELLING PLATFORM & SUITE OF CODES
CONCLUSION AND PROSPECTS X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 18
EUROfusion
BASIC INGREDIENTS OF A FUSION PLASMA SIMULATOR
Geometry: magnetic equilibrium
at least 2-D (plasma shaping, separatrix) – 3D for stellarators
self-consistent with current and pressure evolutionFluid equations (1-D)
time evolution of flux surface averaged ne, ni, Te, Ti, j, V, impurities
Sources
heat, injected matter, current, momentum, impurities, wall (neutrals,
sputtering and recycling)
Losses
diffusion/convection of heat and particles
pumping / neutralisation
radiation (bremsstrahlung, synchrotron, line radiation)viscosity
Link to machine data bases (for application to expe riments and validation of the models)
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 19
EUROfusionITER SCENARIO DESIGN: PHYSICS CHALLENGES
Experimental scenarios exist, but are they extrapol able to ITER ?
different dimensionless parameter rangedifferent properties of sources (e.g., rotation, fast particles) & large fraction of alpha heating different control requirementsdifferent level of self-organization
Scenario design by integrated tokamak modelling:a more and more indispensable tool, that starts to be efficientneither first-principle nor empirical transport models fully reliablepedesta l is critical: progress on both models and databaseexperimental validation of code modulesinterplay with MHDcore- edge coupling : routine inclusion of W transport and radiation in ITER core integrated modelling
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 20G. Giruzzi, PPCF 2011
EUROfusionITER SCENARIO DESIGN: PHYSICS CHALLENGES
Coupling of all spatial plasma
domains (core, edge, scrape-off
layer & divertor)
Dynamic coupling of individual
physics models relevant to each
domain
Interaction between plasma and
PFCs
Coupling of plasma with external
circuits, H&CD, fuelling, pumping
and other systems to confine and
control plasma
Synthetic diagnostics
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 21S. Pinches et al
Poloidal fieldnull (X-
Core(grid suppressed)
Private flux
Scrape-offlayer (SOL)
Divertor
Inner divertor target
Chamberwall
oMagnetic axis
(O-point)
ρρρρ
Poloidalnull (X-point)
Core(grid suppressed)
oMagnetic axis
(O-point)
ρρρρ
Poloidalnull (X-point)
Core(grid suppressed)
oMagnetic axis
(O-point)Poloidalnull (X-point)
Core
Divertor domeOuter divertor target
oMagnetic axis
(O-point)
Edge(closed gridded
region)
Edge(closed gridded
region)
Edge(closed gridded
region)
Edge(closed gridded
region)
ρρρρ
Inside: closed field linesOutside: open field lines
Separatrix surfaceInside: closed field linesOutside: open field lines
EUROfusion
ITER SCENARIO DESIGN: CORE AND EDGE INTEGRATION
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 22
Modelling power & particle exhaust
Control transient & stationary power loadsControl of fast particle lossesControl of particle exhaust & recycling according to fuelling requirements, capacity of Tritium extraction plant & necessary Helium removal
simultaneously with
Modelling of core fusion performance
– control of kinetic & magnetic energy(confinement & stability) including impurities
boundaryconditions core
plasma
Coreconditions
EUROfusion
ITER SCENARIO DESIGN: COMPUTATIONALCHALLENGES
Challenges related to intrinsic computational compl exity:wide variety of physics models integration of physics and technology : antennas, machine descriptionfirst-principle turbulence codes, edge codes, 3-D non-linear MHD codesinclusion of transients and controls in free-boundary simulationsinclusion of all the transport channels extremely complexinclude description of actuators, controls, diagnosticscompromise between accuracy and approximations
Challenges related to code integration:integration of tens of codes, global reliability with number of modules ?codes of different nature, language, generation, speedcomplexity of software architecture / use on massively parallel computersspeed and memory optimization: imperative to bridge gap between speed and accuracyusers: many physicists, with different backgrounds
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 23G. Giruzzi, PPCF 2011
EUROfusion
MAIN CHALLENGES : WIDE RANGE OF TIME AND RADIAL SCALES
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 24
10-3 10-2 10-1 100 101 102 103 104 105 106second
ELMs - DisruptionHeat
MHD Energy confinement Current diffusionPlasma
Particles Particle confinement
ITERMost present day
Cooling of PFC Total thermalization
Wall inventory PFC lifetime
PWI issues
Reactor
EUROfusion
HIERARCHY OF INTEGRATED MODELLING CODES AND MODELS
0-D codes: solution of 0-D core thermal equilibrium equationfast, give a working point, used in optimisation loops for machine design
0.5-D codes: 0-D tool + profile effects, fast calculation (~ 1 min)compute time evolution with simplified profiles and actuatorsprofile peaking time evolution with simplified equilibrium
1.5-D codes: 1.5-D: 1-D flux surface average profiles and 2-D magnetic equilibriumfull space-time solution, with 2-D equilibria (free or fixed boundary) and detailed description of the actuators (H&CD, sources ), diagnostics
� fixed boundary: plasma boundary given, B field computed in the plasma
� free boundary: B field computed in and outside the plasma from coils currents X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 25
EUROfusion0-D SCENARIO MODELLING TOOLS
Physics constraints on He confinement, heat transport, plasma shape, CD efficiency, density limit, MHD, etc.
Technology constraints on divertor heat load, blanket properties, pumping, superconducting magnetic field, neutronics, conversion to electric energy, mechanics, etc.
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 26
computation of a "working point" for space-averaged plasma and machine parameters, with no time evolutionsolution of 0-D core thermal equilibrium equation
↑↑↑↑↑↑↑
+++=++ condlinesynbremaddOH PPPPPPPα
heating alpha ohmic add. brems- synchrotron atom. Line convection/losses heating strahlung radiation radiation /diffusion
G. Giruzzi, Master on Fusion Energy
EUROfusion0-D SCENARIO MODELLING TOOLS
output: PopCon plots (Plasma operation Con tours)example: HELIOS code (J. Johner, Fusion Sci. Techn. 59 (2011) 308)
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 27
System codes for machine design : � possible automatic search of an
optimum working point� optimisation may include cost !� example: PROCESS code [Ward,
Pl. Phys. Contr. Fus. 52, 2010 124033] or SYCOMORE (Imbeaux FEC 2014)
� analogous codes exist in USA, Japan, etc.
ITER baselinescenario
EUROfusion
ITER HYBRID OPERATIONAL DOMAIN FROM SIMPLIFIED 0-5D MODELING
ITER hybrid scenario : q0>1 for 1000s and QDT, QDT>5Narrow operating domain: it requires high confinement and peaked density profile to reach a critical value of bootsrap current fraction
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 28X. Litaudon et al., Nucl. Fusion 44 (2013)
EUROfusion1.5-D INTEGRATED MODELLING TOOLS
Integrated modelling of:Heat, particles, rotation: transport diffusion equations (1D) + source codesCurrent profiles: current diffusion equation (1D)Plasma equilibrium: magnetic equilibrium code (2D)
Interpretative or Predictive modelling:Interpretative: to check data consistency and to calculate effective transport coefficients
� measured electron & ion densities & temperatures � resolution of current diffusion & synthetic diagnostic simulations
Predictive: to validate transport and models against experimental data + prepare new scenarios
� transport modelling� initial profiles from model or experimentsBuilt-in feedback controls
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 29
EUROfusion1.5-D INTEGRATED MODELLING TOOLS
Time dependent simulation integrating various modul es to describe the complexity of whole operation
Large variety of codes with different strength and weakness depending on the physics problem to be solved :
ASTRA : G. V. Pereverzev, G. Corrigan CPC 179 (2008) p.579
CORSICA : J. A. Crotinger, et al. LLNL Report UCRL-ID-126284 (1997)
CRONOS: J.F. Artaud et al., Nuclear Fusion 50 (2010) 043001
European Transport Simulator ETS : Coster D. et al 2010 IEEE Trans. Plasma Sci. 38 2085
Integrated Plasma Simulator, IPS: cswim.org/ips/
JETTO: Cennacchi G. and Taroni A. 1988 JET-IR(88) 03 and JINTRAC: M. Romanelli et al
Plasma and Fusion Research Volume 9, 3403023 (2014)
ONETWO : Murakami et al PoP 2003
PTRANSP : Budny R.V., Nuclear Fusion 49, (2009), 085008.
TASK: Fukuyama et al. 2004, Proc. of 20th IAEA Fusion Energy Conf. CD/TH/P2-3
TOPICS-IBS: Shirai H et al PPCF 42 (200) 1193
Tokamak Simulation Code (TSC): Jardin S.C. et al 1986J. Comput. Phys. 66 481
Etc. …
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 30
EUROfusionTHE CRONOS SUITE OF CODES
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 31
~900 000 lines Fortan 77, ~75 000 lines Fortran 90/95, ~100 000 lines C, ~12 000 lines C++, ~550 000 lines Matlab
EUROfusion
JINTRAC (JET INTEGRATED TRANSPORTCODES) IS A SUITE OF 25 MODULES
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 32
EUROfusion
VALIDATION BY INTERPRETATIVE SIMULATION OF JET EXPERIMENTS
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 33
measuredsimulated chord #2
chord #6
chord #3
IP
INI
INBCD
IBoot
ILHCD
Measured Simulated
l i
V s [V]
IIIIBOOTBOOTBOOTBOOTIIIININININI
IIIINBCDNBCDNBCDNBCD
IIIIPPPP
VVVVLOOPLOOPLOOPLOOP
LLLLiiii
........⃝⃝⃝⃝........ MeasuredMeasuredMeasuredMeasured----����---- SimulatedSimulatedSimulatedSimulated
Fara
day
ang.
(rad
)Fa
rada
y an
g. (r
ad)
Fara
day
ang.
(rad
)Fa
rada
y an
g. (r
ad)
Mag
n. m
eas.
Mag
n. m
eas.
Mag
n. m
eas.
Mag
n. m
eas.
Cur
rent
s (M
A)C
urre
nts
(MA)
Cur
rent
s (M
A)C
urre
nts
(MA)
t (s)t (s)t (s)t (s)
2.02.02.02.01.51.51.51.51.01.01.01.00.50.50.50.5
1.01.01.01.00.80.80.80.80.60.60.60.60.40.40.40.40.20.20.20.2
00000.10.10.10.1
0.050.050.050.050000
----0.050.050.050.05----0.100.100.100.10----0.150.150.150.15
6 8 10 126 8 10 126 8 10 126 8 10 12
IIIILHCDLHCDLHCDLHCD
.................... MeasuredMeasuredMeasuredMeasured———— SimulatedSimulatedSimulatedSimulated
0
3.43.23.02.8
MSE polarisation angles#53521, t=5.5s
measured simulated
Major radius (m)Major radius (m)Major radius (m)Major radius (m)M
SE a
ngle
s (ra
d)M
SE a
ngle
s (ra
d)M
SE a
ngle
s (ra
d)M
SE a
ngle
s (ra
d)
........⃝⃝⃝⃝........ MeasuredMeasuredMeasuredMeasured----����---- SimulatedSimulatedSimulatedSimulated
JET shot with ITB JET shot with ITB JET shot with ITB JET shot with ITB #53521, t = 5.5 s#53521, t = 5.5 s#53521, t = 5.5 s#53521, t = 5.5 s
0.10.10.10.1
0.050.050.050.05
0000
----0.050.050.050.05
----0.10.10.10.1
Synthetic diagnostic
X. Litaudon et al., Nucl. Fusion 44 (2002)
EUROfusionITER BASELINE SCENARIO: Q ~ 10 FOR 400S
Simulation of 15MA/5.3T inductive burn DT Scenario, Q=10 and its variants in H, D and He using the JINTRAC suite 1.5D core/2D SOL and the free boundary equilibrium evolution code CREATE-NLPosition Control System compatible
� with 80s Ip ramp-up, � 450s flat-top, � 170s Ip ramp-down
Sensitivity for the ramp-up rate (dashed lines) Q~10 predicted but sensitive to pedestal assumption
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 34V. Parail et al., Nucl. Fusion 44 (2002)
EUROfusion
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 35
ITER HYBRID SCENARIO: Q ~ 8 FOR 1200 S, IDEAL MHD STABLE
Fixed density (ne0/<ne>~1.4)Fixed T pedestal (~ 5 keV)Fixed H-factor (~ 1.3)Ip = 12 MA Padd ~ 73 MWBootstrap fraction ~ 40%Non-inductive fraction ~ 80%Fusion gain Q ~ 8Fusion Power (MW) ~ 585
simulation
Giruzzi G. et al., PPCF 2011Besseghir K et al PPCF 2013
EUROfusion
CURRENT PROFILE OPTIMIZATION DURING CURRENT RAMP-UP PHASE
Access condition to the class of hybrid-like q-profiles ? Optimisation of the current ramp-up phase: plasma current waveform, heating & current drive waveform, L to H transition the heating systems available at ITER allow to reach a hybrid q-profile at the end of the current ramp-up.
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 36
0
200
400
600
j LH,E
C,N
BI [k
A m
−2]
0 0.5 10
50
100
150
ρ
p LH,E
C,N
BI [k
W m
−3]
LHECCDNBI
Hogeweij G. et al, Nucl. Fusion 2013
EUROfusion
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 37
ITER STEADY-STATE SCENARIO: Q ~ 5 FOR 3000 S, IDEAL MHD STABLE
Fixed density (ne0/<ne>~1.4)Fixed T pedestal (~ 4 keV)Fixed H-factor (~ 1.4)Ip = 10 MA Padd ~ 90 MWBootstrap fraction ~ 53%Non-inductive fraction ~ 100%Fusion gain Q ~ 5Fusion Power (MW) ~ 425
simulation
Giruzzi G. et al., PPCF 2011Besseghir K et al PPCF 2013
EUROfusion
MODEL-BASED MAGNETIC AND KINETIC REAL TIME CONTROL FOR ITER STEADY-STATE SCENARIO
An integrated model-based plasma
control strategy for the control of the
poloidal flux profile and PαThe control actuators are NBI,
ECRH, ICRH , LHCD and surface
loop voltage.
A two-time-scale model identified
from open-loop simulations.
Closed-loop control simulations :
current profile control can be
combined with burn control
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 38
Moreau D. et al. Nuclear Fusion 2013, Liu F. et al., in Proc. 39th EPS Conference 2012
EUROfusion
CONTROL ROBUSTNESS (ITER STEADY-STATE SCENARIO): Loss of confinement, density increase, Zeff increase
Vsurf = 0 @ t > 2.5 s30% H factor drop @ t > 8 s 25% density increase @ t > 14 s 25% Zeff increase @ t > 20 s
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 39
Moreau D. et al. 21st EFPW, 9-11 December 2013, Ringsted, Denmark & FEC ST Petersburg 2014
EUROfusionOUTLINE
INTEGRATED MODELLING IN FUSION & ITER
PLASMA OPERATIONAL SCENARIO:
I) DEFINITION
II) PHYSICS & COMPUTATIONAL CHALLENGES
III) MODELLING OF ITER SCENARIOS
RECENT DEVELOPMENT OF INTEGRATED MODELLING PLATFORM & SUITE OF CODES
CONCLUSION AND PROSPECTS X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 40
EUROfusion
EU INTEGRATED TOKAMAK MODELLING APPROACH
Development of a standardized platform & an integra ted modelling suite
Generic approach , i.e. not specific to transport simulator problem, to a chain of coupled codes, to a machine etcModular , flexible , code, language and machine independent A new data and communication ‘ontology’* for standardizing the data exchange between different codes, through a generic data structure incorporating both simulated and experimental data
� modules describing the same physics is easily interchanged � eases code coupling & rigorous code verification / benchmark � enhanced quality / reproducibility
Multi-machine capability : modules within a workflow run on local cluster or HPC or GRID
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 41
Becoulet et al CPC 177 (2007) 55–59Strand P.I. et al 2010 Fusion Eng. Des. 85 383–7Falchetto et al Nucl. Fusion 54 (2014) 043018
*Ontology is the structural framework for organizing
information used in systems/software engineering,
artificial intelligence etc (~ grammar for data)
EUROfusion
EU INTEGRATED TOKAMAK MODELLING APPROACH
the integrated simulation "workflow" solves an elementary problem (e.g.
equilibrium reconstruction, wave propagation, synthetic diagnostic, …)
� modularity, flexibility
the data transfer between components uses exclusively standardized
interfaces (I/O) : Consistent Physical Objects (CPOs) [F. Imbeaux et al,
Comp. Phys. Comm. 2010]
� consistent data-blocks defined from the elementary
physics/technology problem solved (equilibrium, PF coils …)
� generic data structure for machine and simulation data
� independent of programming language
the data management is hidden to the user, data exchanges are dealt by a
Universal Access Layer (UAL)
a graphical workflow manager allows to easily build integrated simulations
reflecting transparently the physics
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 42Falchetto et al Nucl. Fusion 54 (2014) 043018
EUROfusion
EU INTEGRATED TOKAMAK MODELLING APPROACH: GENERIC APPLICATION STRUCTURE
Generic IM application structure
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 43Falchetto et al Nucl. Fusion 54 (2014) 043018
Framework (workflowmanager)
Executes the workflow and manages the dataflows(passes CPO references)
UniversalAccess Layer (UAL)
Manages the CPO data exchanges
Interfaceprovide I/O as CPOs
Physics modulesolves elementaryphysics problem as an independent code: no knowledge about origin/destination of I/O
code developer
A dedicated tool automatically converts a module into a Kepler actor :
CPO_in CPO_out
https://kepler-project.org/
EUROfusion
EU INTEGRATED TOKAMAK MODELLING APPROACH
Kepler workflow: graphical version of a code flowch art
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 44Falchetto et al Nucl. Fusion 54 (2014) 043018
mars
mars
high-resolutionequilibriumreconstruction
MHD stability initializationread from database
visualization actor
EUROfusionEUROPEAN TRANSPORT SOLVER , ETS
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 45
~1000 Kepler actors ~5000 data for the data structure
EUROfusion
EUROPEAN TRANSPORT SOLVER FOR VARIOUS TOKAMAKS GEOMETRY
Core workflows running under Kepler for MAST, TCV, AUG, JET, ITER, DEMO
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 46
ETS grid
Kalupin D. et al
EUROfusion
ALTERNATIVE APPROACH : IPS , INTEGRATED PLASMA SIMULATOR
IPS, Integrated Plasma Simulator: A flexible, extensible computational framework capable of coupling state-of-the-art models for energy and particle sources, transport, and stability for tokamak core plasma
IPS Design Approachpermit massively parallel physics modules to interoperate with flexibly and efficiently
� Framework/component architecture – written in Python � Components implemented using existing whole codes (usually inFortran) wrapped in standard component interface (written in Python)� File-based communication� Plasma State: official transfer mechanism for time-evolving data thatmust be transferred between components
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 47D. B. Batchelor et al
EUROfusionALTERNATIVE APPROACH : OMFIT FRAMEWORK
OMFIT : One Modeling Framework for Integrated Tasks : A comprehensive framework designed to facilitate experimental data analysis and enable integrated simulationsCollect data from different sources into a single, self-descriptive, hierarchical data structure
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 48
O. Meneghini et
EUROfusionVERIFICATION USING EU FRAMEWORK
Benchmarking of electron cyclotron heating and curr entdrive codes on an ITER inductive scenario
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 49
Benchmark 5 EU EC beam/ray-tracing codes performed within the EU framework for 3 different launching conditions Simplifies verification : the 5 codes run in the same workflowGood agreement found , differences in total current < 15%, and with peak values of power density dP/dV and driven current density matching within 10%, and the position of the profiles matching within δρ ∼ 0.02
Figini L. et al 2012 et al EC-17
Equatorial launcher with poloidal & toroidal launching
angles 0°and 25°
EUROfusionETS VERIFICATION
Benchmarking of the ETS against ASTRA and CRONOS performed using the parameters of JET hybrid discha rge
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 50
Self-consistent evolution of electron and ion temperatures, current diffusion and equilibrium fixed electron density profile, Gaussian heating and current drive profilesSpitzer resistivity, Bohm–gyro-Bohmtransport modelSatisfactory agreement. Differences attributed to different equilibrium solversLaying the foundation for ETS usage for predictive and interpretative runs on present devices and ITER.
Kalupin D. et al 2011 38th EPS Conf.
EUROfusion
FULL JET DISCHARGE SIMULATION WITH ETS
Simulation covering the full
plasma discharge duration
(13s).
Solves coupled transport
equations of magnetic flux,
temperature and density
simultaneously
Good agreement between
experimental data and
simulation
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 51P. Huynh, V. Basiuk
EUROfusion
IMPURITY TRANSPORT MODELLING WITH ETS: ITER LIKE WALL JET EXPERIMENTS
Impurity transport simulated to match the radiative power profiles
| PAGE 52
radiation � Core ~ W � edge injected Ni � Be weak contributions
impurity increase during ICRH phase analysed as an edge W-source increase instead of transport modification
Kalupin, Nucl. Fusion 53 (2013) 123007
JET 81856
Output ETS modelling
Impurity profiles and transport coefficients
EUROfusion
NEOCLASSICAL TEARING MODE MODULE COUPLED TO ETS
Neoclassical Tearing Modes (NTMs) are magnetohydrodyn amic modes
which degrade locally the energy and particle confinemen t
Flattening of Te by a 3/2 NTM was simulated on JET p ulse 76791, in good
agreement with experiment
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 53P.Huynh, V.Basiuk, S.Nowak, O.Sauter
EUROfusion
COUPLED EQUILIBRIUM -TRANSPORT SIMULATIONS ON ETS
Tokamak scenario preparation requires a consistent modeling of the poloidal field system, plasma force balance and plasma core transportcoupling Free boundary equilibrium CEDRES++ (2D plasma force balance + PF system) with the European Transport Solver
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 54
Proof of princple:Simulation of a vertical displacement event in ITER
Current sheet induced at the edge of the plasma due to the interplay between transport, force balance and PF system
Cross-section of the toroidal current density jᵩ (A/m2)
Plasma motion
EUROfusionCONCLUSION [1/3]
With ITER, Fusion research enters in the ‘Nuclear and Reactor Era ’.
Bringing Fusion research to its “Reactor Era” requires an innovative
programme of “discharge mastering”, where modelling plays a crucial role
� Limited experimental time for empirical approach
� Design , safety case and preparation of operation with systematic
modelling
Integrated Modelling: Set of codes coupled together to model the complex
& coupled ‘plasma + tokamak’ system
Integrated Modelling for ITER scenario
� Predictive modelling of each plasma from beginning to end ,
including analysis of control requirements
� Interpretative analysis of each plasma to evaluate/validate models
ITER scenario design: physics and computational challenges
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 55
EUROfusionPROSPECTS [2/3]
Finalisation of the ITER modeling architecture & analysis suite for
Integrated Tokamak Modelling
Systematic validation and benchmark on existing experiments with more
accurate reproductions of present-day tokamak data, e.g.
� Core & edge integration (full 2D coupling) with metallic walls
� Impurity source and transport
� Disruption modelling
� MHD & confinement , pedestal
� Fast particles physics
� …
Imperative to bridge the gap between speed and accuracy for routine
integrated modelling
� computational challenge: parallization and computing resources
� physics challenge: reduced model
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 56
EUROfusionPROSPECTS [3/3]
Integrated simulation that includes all the complexit y of tokamak operation
Towards the flight simulator for ITER & fusion reactors
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 57
Towards the numerical tokamak , the ab-initio integrated modelling� Integrate with first principle codes with multi-platform resources
(cluster, grid, HPC) First principle modelling : - Transport - MHD - Sources - Fast particles …
Integrated modelling architecture
EUROfusionSOME REFERENCES …
Artaud J.F. et al., Nucl. Fusion 50, 043001 (2010)Batchelor D.A. et al Plasma Science and Technology, 9 2007 Becoulet A. et al 2007 Comput. Phys. Commun. 177 55–9Besseghir K et al 2013 Plasma Phys. Control. Fusion 55 125012Budny R.V. Nuclear Fusion, Vol 49 085008 August (2009) Citrin J. et al., Nucl. Fusion 50, 115007 (2010)Coster D. et al 2010 IEEE Trans. Plasma Sci. 38 2085Falchetto G et al Nucl. Fusion 54 (2014) 043018Garcia J. et al., Nucl. Fusion 48 (2008) 075007Giruzzi G. et al., Plasma Phys. Contr. Fusion 53 (2011) 124010Hogeweij D. et al Nucl. Fusion 2013 53 013008Imbeaux F. et al 2010 Comput. Phys. Commun. 181 987–98Johner J. , Fus. Sci. Tech. 59, 308 (2011)Kalupin D. et al. Nucl. Fusion 53 (2013) 123007Kim S H et al 2009 Plasma Phys. Control. Fusion 51 105007Kessel C.E. et al., Nucl. Fusion 47, 1274 (2007)Litaudon X. et al, Nucl. Fusion 53 (2013) 073024Yong-Su Na et al, IAEA FEC (2012), ITR/P1-17Parail V. et al Nucl. Fusion 53 (2013) 113002Poli F.M. et al Nuclear Fusion, 54 (2014) 073007Romanelli M. et al Plasma and Fusion Research Volume 9, 3403023 (2014)Strand P.I. et al 2010 Fusion Eng. Des. 85 383–7Voiteskovitch et al 2014 Nucl. Fusion 54 093006
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 58
EUROfusionEXTRA-SLIDES
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 59
EUROfusion
IMPURITY TRANSPORT WITH ETS: ITER LIKE WALLS JET HYBRID SCENARIO
Intrinsic Be and W, and injected Ni impurities simulated with ETS (all charge states, non-coronal equilibrium, empirical impurity transport):
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 60
I. Ivanova-Stanik, Yu. Baranov
I. Voitsekhovitch and J. Garcia, ITM GM, Nov. 2013
Radiation measurement from different bolometer channels is reasonably well reproduced
EUROfusion
TRANSPORT OF IMPURITIESIMPLEMENTED IN ETS
Transport of multiple
impurities, including multiple
charge states in ETS
First verifications performed
on test cases for light
impurities on a JET-like
geometry
Perspectives: extend
verification to heavy metallic
impurities (Tungsten) and
coupling to turbulent transport
models
X. Litaudon | ITER INTERNATIONAL SCHOOL 2014 | August 25th- 29th 2014 | PAGE 61
Evolution of He 2+ and C6+ radial density
profiles showing the penetration from the
edge to the core .
P. Huynh, J.Li, J.F Artaud, V.Basiuk, R.Guirlet